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Finding the Fourth Proportional to 22,996.31, 31,766.78 and 17,757.23

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Solution

The fourth proportional to 22,996.31, 31,766.78 and 17,757.23 is: 24,529.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.31 : 31,766.78 = 17,757.23 : x
  2. Step 2: Convert to fraction form
    22,996.31/31,766.78 = 17,757.23/x
  3. Step 3: Cross multiply
    22,996.31x = 31,766.78 × 17,757.23
  4. Step 4: Simplify right side
    22,996.31x = 564,089,904.38
  5. Step 5: Solve for x
    x = 564,089,904.38/22,996.31
  6. Step 6: Final answer
    x = 24,529.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.